Floris van Doorn
e96e4a677d
feat(homotopy): prove the naive Seifert-Van Kampen theorem
...
Also define the pushout of categories and the pushout of groupoids
2016-07-09 10:20:21 -07:00
Floris van Doorn
61848c4a2e
feat(hott): define pushout of groupoids
2016-07-09 10:20:21 -07:00
Floris van Doorn
9f13527c25
chore(hott): update default files and some markdown files
2016-07-09 10:20:21 -07:00
Floris van Doorn
2afdaf6906
fix(groupoid): redefine groupoid given by a group
...
The composition was in the reverse order
2016-05-06 14:27:27 -07:00
Floris van Doorn
8db4676c46
feat(hott): various changes and additions in the HoTT library
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Add more theorems about mapping cylinders, fibers, truncated 2-quotient, truncated univalence, pre/postcomposition with an iso in a precategory.
renamings: equiv.refl -> equiv.rfl and equiv_eq <-> equiv_eq'
2016-05-06 14:27:27 -07:00
Floris van Doorn
f983724cf6
feat(pointed): merge pointed2 into pointed
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We move the basic notions of pointed types into init.pointed, to avoid cycles in the import graph. Also adds pointed versions of pi and sigma, with corresponding notation
2016-04-11 09:45:59 -07:00
Floris van Doorn
05b59aecf8
refactor(hott): rename apd to apdt
2016-04-11 09:45:59 -07:00
Leonardo de Moura
5e14b4ebe8
fix(library,hott): avoid rewrite with patterns of the form (?M ...)
2016-03-09 15:39:17 -08:00
Floris van Doorn
5cacebcf86
feat(hott): replace assert by have and merge namespace equiv.ops into equiv
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The coercion A ≃ B -> (A -> B) is now in namespace equiv. The notation ⁻¹ for symmetry of equivalences is not supported anymore. Use ⁻¹ᵉ
2016-03-03 10:13:21 -08:00
Floris van Doorn
e2b31a9b33
feat(hott): remove multiple_instances attribute
2016-03-03 10:13:20 -08:00
Floris van Doorn
4238fdd3d8
fix(hott): add missing links to markdown files
2016-03-03 10:13:20 -08:00
Jakob von Raumer
1104537d02
chore(hott) adjust to new naming for pointed types and truncated types
2016-03-01 13:52:53 -08:00
Jakob von Raumer
11458f64fe
feat(hott/algebra) add order categories
2016-03-01 13:52:53 -08:00
Leonardo de Moura
cc8d9bc7ff
refactor(hott): replace 'assert'-expr with 'have'-expr
2016-02-29 12:11:17 -08:00
Leonardo de Moura
5a4dd3f237
feat(library/reducible): remove [quasireducible] annotation
2016-02-25 17:42:44 -08:00
Leonardo de Moura
510168a387
refactor(library,hott): remove unnecessary annotations
2016-02-25 12:26:20 -08:00
Sebastian Ullrich
3de216d302
chore(*.md): fix/remove broken links
2016-02-23 10:11:24 -08:00
Floris van Doorn
bac6d99cc7
style(hott): rename Pointed to pType
...
also rename sigma_equiv_sigma_id to sigma_equiv_sigma_right and similarly for pi
2016-02-22 11:15:38 -08:00
Floris van Doorn
43cf2ad23d
style(hott): replace all other occurrences of hprop/hset
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They are replaced by either Prop/Set or prop/set
2016-02-22 11:15:38 -08:00
Floris van Doorn
4e2cc66061
style(*): rename is_hprop/is_hset to is_prop/is_set
2016-02-22 11:15:38 -08:00
Leonardo de Moura
42fbc63bb6
fix(library/tc_multigraph): avoid name collisions
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@avigad, @fpvandoorn, @rlewis1988, @dselsam
I changed how transitive instances are named.
The motivation is to avoid a naming collision problem found by Daniel.
Before this commit, we were getting an error on the following file
tests/lean/run/collision_bug.lean.
Now, transitive instances contain the prefix "_trans_".
It makes it clear this is an internal definition and it should not be used
by users.
This change also demonstrates (again) how the `rewrite` tactic is
fragile. The problem is that the matching procedure used by it has
very little support for solving matching constraints that involving type
class instances. Eventually, we will need to reimplement `rewrite`
using the new unification procedure used in blast.
In the meantime, the workaround is to use `krewrite` (as usual).
2016-02-04 13:15:42 -08:00
Floris van Doorn
c852f7bc71
feat(hott): use the induction tactic for trunc at some places
2015-12-17 12:46:16 -08:00
Sebastian Ullrich
2185ee7e95
feat(library/tactic): make let tactic transparent, introduce new opaque note tactic
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The new let tactic is semantically equivalent to let terms, while `note`
preserves its old opaque behavior.
2015-12-14 10:14:02 -08:00
Floris van Doorn
2325d23f68
feat(hott): port nat and int from the standard library
2015-12-09 12:36:11 -08:00
Leonardo de Moura
491c7c55e1
feat(library/simplifier/simp_rule_set): add priorities for simp and congr rules
2015-11-16 22:34:06 -08:00
Floris van Doorn
9e492a8771
feat(category): more about adjoint functors
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This commit has multiple unfinished proofs (commented out)
2015-11-16 21:32:09 -08:00
Floris van Doorn
5c1bf1e777
fix(hott): delete empty file
2015-11-16 21:32:09 -08:00
Floris van Doorn
e00ccff6de
fix(hott): make sure the HoTT library compiles with --to_axiom
2015-11-16 21:32:09 -08:00
Leonardo de Moura
5ceac83b6a
feat(frontends/lean/elaborator): restrict the number of places where coercions are considered
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We do not consider coercions around meta-variables anymore.
2015-11-11 12:37:19 -08:00
Leonardo de Moura
9bedbbb739
refactor(library,hott): remove coercions between algebraic structures
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They are classes, and mixing coercion with type class resolution is a
recipe for disaster (aka counterintuitive behavior).
2015-11-11 11:57:44 -08:00
Floris van Doorn
4828afa781
fix(hott): small fixes after rebasing
2015-11-08 14:04:59 -08:00
Floris van Doorn
5e4441cb43
fix(functor.equivalence): comment out sorry's
2015-11-08 14:04:59 -08:00
Floris van Doorn
49cb516c71
feat(category.limit): prove that the limit functor is right adjoint to the diagonal map
2015-11-08 14:04:59 -08:00
Floris van Doorn
36dfb61a3e
feat(category.limits): prove that yoneda preserves limits
2015-11-08 14:04:59 -08:00
Floris van Doorn
46dba4ee5e
refactor(category): move some files to subfolders, and create file with basic functors
2015-11-08 14:04:59 -08:00
Floris van Doorn
e14754a337
feat(category): start on proof of yoneda preserves limits and limit functor is left adjoint
2015-11-08 14:04:59 -08:00
Floris van Doorn
f2d07ca23c
feat(category): various small changes in category theory
2015-11-08 14:04:59 -08:00
Floris van Doorn
de1c47eda9
feat(categories): add exponential laws for categories
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also give nicer rules to construct equalities between (pre)categories
2015-11-08 14:04:59 -08:00
Floris van Doorn
0e7b7af1da
refactor(category): add new folder functor, split adjoint file into separate files
2015-11-08 14:04:59 -08:00
Floris van Doorn
3f0d8c0a8c
feat(category.adjoint): prove more about functors
2015-11-08 14:04:58 -08:00
Floris van Doorn
18ec5f8b85
feat(categories): prove introduction rule for equivalences
2015-11-08 14:04:58 -08:00
Floris van Doorn
448178a045
feat(category.functor2): prove that the category of functors is complete and cocomplete if the codomain is
2015-11-08 14:04:58 -08:00
Floris van Doorn
3b7afad6ad
feat(category.hset): prove that the category of sets is cocomplete
2015-11-08 14:04:58 -08:00
Floris van Doorn
c7fd29f854
feat(category): start with the introduction rule for equivalences
2015-11-08 14:04:58 -08:00
Leonardo de Moura
d1e111fd6c
fix(hott,frontends/lean,library,library/tactic): make sure we can still compile the HoTT library
2015-11-08 14:04:55 -08:00
Leonardo de Moura
744d1cba3d
feat(library,hott,frontends/lean): avoid keywords with hyphen
2015-11-08 14:04:54 -08:00
Floris van Doorn
115dedbd1c
fix(hott): notation spacing and markdown files
2015-10-02 16:26:10 -07:00
Floris van Doorn
2264759060
feat(category): define colimits as dual of limits
2015-09-28 09:09:22 -07:00
Floris van Doorn
df73931a6d
feat(category.opposite): prove that the opposite of a univalent category is univalent
2015-09-28 09:09:22 -07:00
Floris van Doorn
099bd95ebd
feat(category.limits): prove that being complete is a mere proposition for categories
2015-09-28 09:09:22 -07:00
